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Finding the Fourth Proportional to 1,306.69, 1,803.24 and 709.19

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Solution

The fourth proportional to 1,306.69, 1,803.24 and 709.19 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.69 : 1,803.24 = 709.19 : x
  2. Step 2: Convert to fraction form
    1,306.69/1,803.24 = 709.19/x
  3. Step 3: Cross multiply
    1,306.69x = 1,803.24 × 709.19
  4. Step 4: Simplify right side
    1,306.69x = 1,278,827.21
  5. Step 5: Solve for x
    x = 1,278,827.21/1,306.69
  6. Step 6: Final answer
    x = 978.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.